{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3801"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3801","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Estudo da estabilidade de circuitos RC via otimização","abstract":"Study of non-linear RC network stability. An RC network is considered assymptotically stable when the capacitar charges converge to equilibrium charges. The study is developed from the analysis of the behavior of resistive networks. It is assumed that all resistors have increasing characteristics curves, from which it is possible to formulate resistive network problems as optimization problems on graphs. Duality techniques are used in the proof of certain results. Additional hypothesis on the resistors, depending on the network structure, will permit representation of the networks solutions as solutions of a system of differential equations for which the existence and uniqueness of solutions is guaranteed. Liapunov's method is the basic tool in the stability analysis of this system of equations.","abstract_html":"Study of non-linear RC network stability. An RC network is considered assymptotically stable when the capacitar charges converge to equilibrium charges. The study is developed from the analysis of the behavior of resistive networks. It is assumed that all resistors have increasing characteristics curves, from which it is possible to formulate resistive network problems as optimization problems on graphs. Duality techniques are used in the proof of certain results. Additional hypothesis on the resistors, depending on the network structure, will permit representation of the networks solutions as solutions of a system of differential equations for which the existence and uniqueness of solutions is guaranteed. Liapunov's method is the basic tool in the stability analysis of this system of equations.","abstract_has_math":false,"creators":["Mariz, Carlos Henrique da Costa"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Persiano, Ronaldo César Marinho"],"committee_chairs":[],"committee_members":[],"year":1973,"date_issued":"1973-08","date_published":"1973-08","updated_at":"2026-07-24T01:16:10Z","subjects":["Redes de computadores","Teoria assintótica","Funções de Liapunov","Estabilidade","Otimização matemática"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3801","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Persiano, Ronaldo César Marinho"]},{"key":"dc:creator","label":"Author","values":["Mariz, Carlos Henrique da Costa"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-04-02T14:41:15Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:25Z"]},{"key":"dc:date.issued","label":"Date","values":["1973-08"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Redes de computadores","Teoria assintótica","Funções de Liapunov","Estabilidade","Otimização matemática"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3801"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Study of non-linear RC network stability. An RC network is considered assymptotically stable when the capacitar charges converge to equilibrium charges. The study is developed from the analysis of the behavior of resistive networks. It is assumed that all resistors have increasing characteristics curves, from which it is possible to formulate resistive network problems as optimization problems on graphs. Duality techniques are used in the proof of certain results. Additional hypothesis on the resistors, depending on the network structure, will permit representation of the networks solutions as solutions of a system of differential equations for which the existence and uniqueness of solutions is guaranteed. Liapunov's method is the basic tool in the stability analysis of this system of equations."]},{"key":"dc:title","label":"Title","values":["Estudo da estabilidade de circuitos RC via otimização"]}]}],"canonical_facts":{"dc:contributor.advisor":["Persiano, Ronaldo César Marinho"],"dc:creator":["Mariz, Carlos Henrique da Costa"],"dc:date.accessioned":["2018-04-02T14:41:15Z"],"dc:date.available":["2026-05-16T03:05:25Z"],"dc:date.issued":["1973-08"],"dc:description.abstract":["Study of non-linear RC network stability. An RC network is considered assymptotically stable when the capacitar charges converge to equilibrium charges. The study is developed from the analysis of the behavior of resistive networks. It is assumed that all resistors have increasing characteristics curves, from which it is possible to formulate resistive network problems as optimization problems on graphs. Duality techniques are used in the proof of certain results. Additional hypothesis on the resistors, depending on the network structure, will permit representation of the networks solutions as solutions of a system of differential equations for which the existence and uniqueness of solutions is guaranteed. Liapunov's method is the basic tool in the stability analysis of this system of equations."],"dc:identifier.uri":["http://hdl.handle.net/11422/3801"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Redes de computadores","Teoria assintótica","Funções de Liapunov","Estabilidade","Otimização matemática"],"dc:title":["Estudo da estabilidade de circuitos RC via otimização"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:10Z"}